All questions
AP Physics C: E&M
10.4 Dielectrics
10.3 Capacitors
AdvancedMCQMathematical20.9k
Cross section of a spherical capacitor filled with a weakly conducting dielectric material.
Cross section of a spherical capacitor filled with a weakly conducting dielectric material.
A spherical capacitor consists of two concentric, thin conducting spherical shells of radii \(a\) and \(b\), where \(a < b\). The space between the shells is completely filled with a homogeneous, weakly conducting material having a dielectric constant \(\kappa\) and a uniform resistivity \(\rho\). The capacitor is initially charged so that the inner shell carries charge \(+Q_0\) and the outer shell carries charge \(-Q_0\), and it is then isolated. Which of the following expressions correctly represents the characteristic time constant \(\tau\) for the exponential decay of charge on the capacitor?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5